Details
| Original language | English |
|---|---|
| Pages (from-to) | 223-238 |
| Number of pages | 16 |
| Journal | Numerical Linear Algebra with Applications |
| Volume | 4 |
| Issue number | 3 |
| Publication status | Published - 4 Dec 1998 |
| Externally published | Yes |
Abstract
The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parallelization of a finite element code to a parallel machine with distributed memory of the MIMD class is presented. Here, a non-overlapping domain decomposition is employed. A non-linear shell theory involving elastoplastic material behaviour of von Mises type with linear isotropic hardening is briefly introduced and a parallel algebraic multigrid method is derivated. As a numerical example we discuss the pinching of a cylinder undergoing large elastoplastic deformations. The performance of the solver is shown by using speed-up and scale-up investigation, as well as the influence of the problem size and the plasticity.
Keywords
- Algebraic multigrid, CG method, Parallel computing, Plasticity
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Applied Mathematics
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In: Numerical Linear Algebra with Applications, Vol. 4, No. 3, 04.12.1998, p. 223-238.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Application of a Parallel Algebraic Multigrid Method for the Solution of Elastoplastic Shell Problems
AU - Meynen, S.
AU - Boersma, A.
AU - Wriggers, Peter
PY - 1998/12/4
Y1 - 1998/12/4
N2 - The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parallelization of a finite element code to a parallel machine with distributed memory of the MIMD class is presented. Here, a non-overlapping domain decomposition is employed. A non-linear shell theory involving elastoplastic material behaviour of von Mises type with linear isotropic hardening is briefly introduced and a parallel algebraic multigrid method is derivated. As a numerical example we discuss the pinching of a cylinder undergoing large elastoplastic deformations. The performance of the solver is shown by using speed-up and scale-up investigation, as well as the influence of the problem size and the plasticity.
AB - The algebraic multigrid method (AMG) can be applied as a preconditioner for the conjugate gradient method. Since no special hierarchical mesh structure has to be specified, this method is very well suited for the implementation into a standard finite element program. A general concept for the parallelization of a finite element code to a parallel machine with distributed memory of the MIMD class is presented. Here, a non-overlapping domain decomposition is employed. A non-linear shell theory involving elastoplastic material behaviour of von Mises type with linear isotropic hardening is briefly introduced and a parallel algebraic multigrid method is derivated. As a numerical example we discuss the pinching of a cylinder undergoing large elastoplastic deformations. The performance of the solver is shown by using speed-up and scale-up investigation, as well as the influence of the problem size and the plasticity.
KW - Algebraic multigrid
KW - CG method
KW - Parallel computing
KW - Plasticity
UR - http://www.scopus.com/inward/record.url?scp=0031478685&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1099-1506(199705/06)4:3<223::AID-NLA111>3.0.CO;2-2
DO - 10.1002/(SICI)1099-1506(199705/06)4:3<223::AID-NLA111>3.0.CO;2-2
M3 - Article
AN - SCOPUS:0031478685
VL - 4
SP - 223
EP - 238
JO - Numerical Linear Algebra with Applications
JF - Numerical Linear Algebra with Applications
SN - 1070-5325
IS - 3
ER -